Friday, 3 March 2017

CBSE Class 8 - Maths - Squares - Properties of A Perfect Square (#cbsenotes)

Properties of A Perfect Square

CBSE Class 8 - Maths - Squares - Properties of A Perfect Square (#cbsenotes)

Please look at the table of some squares given below. You will see interesting patterns here.

Square of number 0 = 0

Number Square Number Square Number Square
1 1 11 121 21 441
2 4 12 144 22 484
3 9 13 169 23 529
4 16 14 196 24 576
5 25 15 225 25 625
6 36 16 256 26 676
7 49 17 289 27 729
8 64 18 324 28 784
9 81 19 361 29 841
10 100 20 400 30 900


PROPERTY 1:
Look at the table above. Observe that none of the column of squares ends with 2, 3, 7, or 8. Therefore we can say that a number endings with 2, 3, 7, 8 can never be a perfect square.
Thus 228257 , 132457 , 189678 , 84453 are not perfect squares.

PROPERTY 2:
Look at the last row of the table shown above. We notice that all the perfect squares are ending with an even number or 0. In the first line  e.g. 10² = 100 , 20² = 400, 30² =900,
Similarly 80²  = 6400, 50² = 2500.

We can prime factorise and see that 10, 20, 30,  etc . are not perfect squares. Thus a number ending with odd  number of zeros can never be a perfect square.


CBSE Class 8 - English SA2 Sample Question Paper (2016-17)

CBSE Class 8 - English SA2 Sample Question Paper (2016-17)

CBSE Class 8 - English SA2 Sample Question Paper (2016-17)